Results 61 to 70 of about 824,488 (198)

Frenet frames and Toda systems

open access: yes, 1999
LaTeX2e, amsart, 23 ...
openaire   +2 more sources

System Integration and Field Testing of Low‐Cost Autonomous Platooning Platforms: Collision Avoidance Scenario

open access: yesJournal of Field Robotics, Volume 43, Issue 2, Page 847-878, March 2026.
ABSTRACT This paper presents the development and validation of a scalable platooning system based on the predecessor‐following (PF) topology, designed for low‐cost follower platforms. It integrates key technologies such as localization, path planning, profile generation, and low‐level control to create a practical solution.
Dongwoo Seo, Jinhee Lee, Jaeyoung Kang
wiley   +1 more source

Nastanak centripetalnog ubrzanja u Frenet–Serretovom sustavu [PDF]

open access: yes, 2003
A clear physical description of a particle's motion in terms of the components of its acceleration is obtained if the trajectory is described in terms of the Frenet-Serret frame.
Bevelacqua, Joseph John
core  

Space‐Aware Adaptive Trajectory Planning for High Coverage Inspection of Underwater Long‐Range Tunnels

open access: yesIET Cyber-Systems and Robotics, Volume 8, Issue 1, January/December 2026.
ABSTRACT The inspection of long‐range tunnels has become an important challenge in underwater robotics, as it involves a trade‐off among coverage, efficiency, and an energy‐related cost metric. In this paper, we propose a space‐aware trajectory planning algorithm to generate high‐coverage inspection trajectories for long‐range tunnel inspection.
Yong Hu   +4 more
wiley   +1 more source

Hasimoto transformation of general flows expressed in the Frenet frame

open access: yesApplied Numerical Mathematics
A one-dimensional space curve in $\mathbb{R}^{3}$ is a useful nonlinear medium for modeling vortex filaments and biological soft-matter capable of supporting a variety of wave motions. The Hasimoto transformation defines a mapping between the kinematic evolution of a space curve and nonlinear scalar equations evolving its intrinsic curve geometry. This
Jacob S. Hofer, Scott A. Strong
openaire   +2 more sources

A Note on Parametric Surfaces in Minkowski 3-Space

open access: yesThe Scientific World Journal, 2014
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic ...
Esra Betul Koc Ozturk
doaj   +1 more source

Safety‐Critical Kinematically‐Executable Overtake Planning via Contingency Path‐Speed Iterative Algorithm for Automated Valet Parking*

open access: yesIET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
Motion planning in automated valet parking (AVP) confronts a series of formidable challenges, including a constricted movement space, vehicles parked in violation of regulations, and vehicles that intrude suddenly. In response to these issues, this article devises a safety‐critical kinematically executable overtaking planning system for AVP through a ...
Wei Han, Bo Leng, Peizhi Zhang, Lu Xiong
wiley   +1 more source

Development of Frenet-Serret Frame and the Apollonian Window

open access: yes, 2023
Abstract The present study focuses on Frenet-Serret frame and the Apollonian Window. In the first part of the In the first part of the study Apollonian disks are generated for first four generations by developing visual basic codes in excel. For the second part of the study, three orthonormal basis vectors, namely, tangent, normal, and binormal
openaire   +1 more source

Existence and uniqueness theorem for Frenet frame supercurves

open access: yes, 2005
In the first part of this paper,using the Banach Grassmann algebra $BL$ given by Rogers in her paper [10],a new scalar product and a new definition of the orthogonality are introduced on the $(m,n)$-dimensional total supereuclidean space ${BL}m+n$. Using
Cristea, Valentin Gabriel
core   +1 more source

Cooperative Control for Mixed Traffic at Uncontrolled Intersections Based on Leader‐Follower Decision‐Making Process

open access: yesIET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
In this work we proposed a cooperative control method for uncontrolled intersections, which employs a leader–follower decision–making process to assign roles to vehicles by constructing a role relationship directed graph. The weighted maximum clique algorithm is used to break the loops in the role relationship directed graph, considering the influence ...
Zhaojie Wang, Guangquan Lu, Haitian Tan
wiley   +1 more source

Home - About - Disclaimer - Privacy